Manfra22-2011

Manfra22-2011 - 7.1 Application of the Schrdinger Equation...

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Unformatted text preview: 7.1 Application of the Schrdinger Equation to the Hydrogen Atom 7.2 Solution of the Schrdinger Equation for Hydrogen 7.3 Quantum Numbers 7.4 Magnetic Effects on Atomic SpectraThe Zeeman Effect 7.5 Intrinsic Spin 7.6 Energy Levels and Electron Probabilities CHAPTER 7 The Hydrogen Atom The Hydrogen Atom Problem set 8: Chapter 7: 3, 6, 17, 21, 34, 26, 29, 34, 38, 39 Due Monday April 4th Werner Heisenberg (1901-1976) Example: = 2 : Only certain orientations of are possible. This is called space quantization . And (except when = 0) we just dont know L x and L y ! Magnetic Quantum Number m The solution for g ( ) specifies that m is an integer and is related to the z component of L : In 1896, the Dutch physicist Pieter Zeeman showed that spectral lines emitted by atoms in a magnetic field split into multiple energy levels. It is called the Zeeman effect . Consider the atom to behave like a small magnet. Think of an electron as an orbiting circular current loop of I = dq / dt around the nucleus. If the period is T = 2 r / v , then I = -e/T = -e/ ( 2 r / v ) = -e v / ( 2 r )....
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Manfra22-2011 - 7.1 Application of the Schrdinger Equation...

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